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The graph shown is of a quadratic function, and you are asked to determine the domain on which the function is **decreasing**.

From the graph:
- The function has a **parabolic** shape, opening upwards.
- The function reaches a minimum point at the vertex, which appears to be at \( x = 1 \).
- The function **decreases** on the left-hand side of the vertex (as \( x \) moves toward \( 1 \) from the left) and then increases on the right-hand side.

### Domain of Decrease:
The function is **decreasing** for values of \( x \) less than the vertex, meaning the domain where the function is decreasing is:
\[
(-\infty, 1]
\]

Would you like more details or have any other questions?

Here are 5 related questions for you to explore:
1. What is the domain where the function is increasing?
2. How can you determine the vertex of a quadratic function algebraically?
3. How do you find the axis of symmetry for a quadratic function?
4. Can a quadratic function ever have no decreasing or increasing intervals?
5. How does the leading coefficient of a quadratic equation affect its graph?

**Tip:** For quadratic functions, the vertex can be found using the formula \( x = \frac{-b}{2a} \) when given the standard form \( ax^2 + bx + c \).

Determine the domain on which the following function is decreasing.

Learn how to determine the domain where a quadratic function is decreasing based on the vertex. This question covers key concepts in algebra and quadratic functions. Suitable for students in Grades 9-11.

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